Well, I figured that LPIII's been out for a while now, so it might be time to do one of these like I did with the earlier LP packs.
So, the format will be similar. Each rank will be divided into two groups. Group 1 will be levels 1 to 9, and Group 2 will be levels 10 to 17 (or 18, for Dodgy). Following those voteoffs, the winners from each group within a rank will be voted off, and then finally, those winners, with one more round between the top two levels from the first winners round.
So,
Timid 1-9 (2 votes): Timid 3 "Strike It Down!", Timid 4 "Roundabout Run", Timid 8 "Scatterlem"
Timid 10-17 (2 votes): Timid 10 "What Does This Button Do?", Timid 15 "Locked Out!"
Dodgy 1-9 (2 votes): Dodgy 7 "Experimental Materials", Dodgy 8 "Synergistic Effect"
Dodgy 10-18 (2 votes): Dodgy 11 "Extra Skill Required"
Rough 1-9 (2 votes): Rough 7 "Hardwired!"
Rough 10-17 (2 votes): Rough 13 "Shmooth Shailing"
Fierce 1-9 (2 votes): Fierce 1 "Dead Is The New Black"
Fierce 10-17 (2 votes): Fierce 13 "Crossover Arena"
Timid's winners (2 votes): Timid 15 "Locked Out!"
Dodgy's winners (1 vote): Dodgy 8 "Synergistic Effect"
Rough's winners (1 vote): Rough 7 "Hardwired!"
Fierce's winners (1 vote): Fierce 13 "Crossover Arena"
Rank winners (2 votes): Dodgy 8 "Synergistic Effect", Rough 7 "Hardwired!"
Final (1 vote): Rough 7 "Hardwired!"
Bonus round (Winner of voteoffs vs all-time winner from previous voteoffs)
Genius 8 (LPII) "Panic Attack" vs Rough 7 (LPIII) "Hardwired!"
Winner: Genius 8 (LPII) "Panic Attack"
I'll decide on the vote limits for later rounds based on how many levels qualify, rather than attempting to decide them upfront. Most likely it'll be one per round, but if there's especially large ties, it might be two or even three. And then for fun, once we have a winner, I'll do a voteoff between it and the overall winner from previous packs (which was Genius 8 "Panic Attack" from LPII).
EDIT: Okay, so for the playoffs between rank winners, two votes for Timid due to the large amount of qualifying levels, one vote for the other ranks. After that, the winner(s) from each rank will be in a two-vote round, with the top two levels (even if they're not tied) entering a final round with one vote.